Home / 1,409.18-2,111.50-859.70

Finding the Fourth Proportional to 1,409.18, 2,111.50 and 859.70

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Solution

The fourth proportional to 1,409.18, 2,111.50 and 859.70 is: 1,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.18 : 2,111.50 = 859.70 : x
  2. Step 2: Convert to fraction form
    1,409.18/2,111.50 = 859.70/x
  3. Step 3: Cross multiply
    1,409.18x = 2,111.50 × 859.70
  4. Step 4: Simplify right side
    1,409.18x = 1,815,256.55
  5. Step 5: Solve for x
    x = 1,815,256.55/1,409.18
  6. Step 6: Final answer
    x = 1,288.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.